FRACTIONS

Fractions

By Lauren Saiers and Owen Sampsell

Fractions

By Lauren Saiers And Owen Samsell

Table of contents

• Section 1-Numerators and Denominators page 1• Section 2- Mixed Numbers/Improper Fractions page 11• Section 3- Reducing page 21• Section 4- Common Denominators page 31• Section 5- Reciprocals page 41• Section 6- Adding Fractions page 51• Section 7- Subtracting Fractions page 61• Section 8- Multiplying Fractions page 71• Section 9- Dividing fractions page 81• Section 10- Word Problems• Problem guide page 91

Section 1Numerators and Denominators

• Numerator is always the top number.• Denominator is always the bottom number.• For ex… 7 is the numerator and 8 is the

denominator so the fraction is or 7 out of 8• The numerator is always on top because it is

the number OUT OF the other number or the denominator.

Problem 1.1

• Becky had 7 cookies out of 20 cookies. Jillian had the rest.

• A1.What is the numerator• A2.What is the

denominator?• A3.What fraction of the

cookies did Jillian have if Becky had 7 out of the whole 20 cookies?

Show your work here! Circle your answers! Label your answer with what question it goes to!

Problem 1.2

Show your work! Circle your answers! Label each answer with what question it goes to!

Jimmy and Johnny shared a whole pizza which is 8 slices. A1. What fraction of the slices will Jimmy get? Circlethe numerator.A2. What fraction of the slices will Johnny get? Puta box around the denominator.

Problem 1.3

Sarah and Jimmy shared pie slices.There are 10 slices per pie.There are 2 pies.A1.Sarah got 8 slices. What fraction of all the slices did Jimmy get?A2. What fraction did Sarah get if she had 8 out of the whole 20 slices?

Show your work! Circle your answers! Label each answer with what question it goes to!

Problem 1.4

• Show all your work! Circle your answers! Label each answer with the question it goes to!

3 friends share 150 cherries. Susie had 50, Jerry had 50, and Jack had 50.A1. What fraction of the cherries did each friend get ? Circle the numerators. Put a square around the denominators.A2.What did you do to get each fraction that you got in question A1. ?

Problem 1.5

• Show your work! Circle your answers! Label each answer with the question it goes to!

The green race car went 20 miles and if the blue race care went 15 miles what would the fraction be in simplest form.

section 2Mixed Numbers/Improper Fractions

• A mixed number is like a whole number with a fraction after it.

• For example 2 would be a mixed number.• A improper fraction is a bigger number over a smaller

number.• For example

Section 3Reducing

Reducing is when you bring down to a smaller Number.

For example 3/6 = 1/2

Practice problems

Change the following improper fractions to mixed numbers.1. =2. =3. =4. =5. =Change the following mixed numbers to improper fractions.6. 2=7. 8=8. 9=9. 10=10. 7=

Practice problems

Reduce these following fractions.(to lowest form)1. =2. =3. =4. =5. =

Section 4 Common DenominatorsTo find common denominators just look at the denominator of each fraction and see if you can find the lowest number that’s the same that each denominator will go into.For example 1/5 and 1/10 there common denominator is 10 because 5*2= 10 and 1*10=10 so the fractions with common denominators would be 2/10 and 1/10.

Practice problems

Reduce the following fractions

1.2.3.=4.5.

Section 5 ReciprocalsA reciprocal is one number that their product is 1 so for example So then if it is 3 the fraction would be

Find the reciprocals for these fraction

1.=2.=3.4.5.

Section 6Adding including mixed numbersTo add fractions you have to find common denominators forExample =

Section 6Add the following fractions Section 7 subtracting fractions

To subtract fractions you have to find common denominators.

1. 12. 1 9. 693.1 10. 684.15.36.47.38.4

Subtract the following fractions

1. 1= 2. 23. 34. 45. 56. 67. 78. 89. 910. 10

Section 8Multiplying fractionsto multiply fractions just multiply the numerator by the numerator and the denominator by the denominator. Multiply these fractions.

1.2. 3.4. 5. 6.7.=9.

Section 9Dividing fractionsTo divide a fraction you have toFlip the number up side down so it would be 1/3 would be 3/1

Solve these problems1. 3/5 3. 3/54. 4/67. 6/710. 4/6

Answer guide for odd numbered Questions

• Section 9 #1- 1.6 2-28/30 3-15/30 5-6/14 • 7- 1 2/28 9 -35/48 • Section 8 #1- 12/48 3-15/30 5-15/30 • 7- 30/32 9-35/112• Section 7 #1-11/15 3-2 14/15 5- 4 7/8• 7- 6 5/12 9- 8 13/15• Section 6 #1- 2 7/12 3- 1 13/16 5- 5 ½• 7- 3 14/15 9- 70 1/3• Section 5#1-6 3-4 5-9• Section 4#1-2/3 3-1/2 5-2/5• Section 2/3#1-4 2/8 3-3 1/3 5-12 set 2#1-5/2 3- 46/5• 5-43/6 • Section 1#1-7 3-13/20 set 3 #1-12/20 set 5 #1-34